I'm pretty sure my phone number is NOT tied to my Spring account, but ctrip is usually around the same price as direct channels (e.g. website, app, mini program, airports, city ticket offices).
In any event, I suggest waiting until you're in China to buy. The price, especially for Spring Plus, won't be substantially more expensive 5 days out than a month out.
ETA: No 9C thread would be complete without their dance video: https://youtu.be/wIdRM3Mealc?si=W47kv8RJDMecBNpz